101211121000221 has 8 divisors (see below), whose sum is σ = 137494353057120. Its totient is φ = 66200984805072.

The previous prime is 101211121000193. The next prime is 101211121000259. The reversal of 101211121000221 is 122000121112101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101211121000221 - 2²² = 101211116805917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101211121000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211121000921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318273965251 + ... + 318273965568.

It is an arithmetic number, because the mean of its divisors is an integer number (17186794132140).

Almost surely, 2^{101211121000221} is an apocalyptic number.

It is an amenable number.

101211121000221 is a deficient number, since it is larger than the sum of its proper divisors (36283232056899).

101211121000221 is an equidigital number, since it uses as much as digits as its factorization.

101211121000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636547930875.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101211121000221 its reverse (122000121112101), we get a palindrome (223211242112322).

The spelling of 101211121000221 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twenty-one", and thus it is an aban number.